OPTIMAL ESTIMATION METHOD FOR CERTAIN PHYSICAL PROCESSES - ON THE EXAMPLE OF PHENOMENA OCCURRING IN A NUCLEAR REACTOR

Abstract

The method of an optimal estimation of a certain class of space-time physical processes, on the example of a model of phenomena occurring in a nuclear reactor, has been presented in this paper. The analysis of possibilities of an optimal estimation of the reactor phenomena class under consideration has been followed by the presentation of the primary task of an optimal estimation as that of a dynamic optimization. Sufficient and necessary conditions have been quoted for the solution of the task given, under the employment of Lagrange functionals theory. The technique has been proposed, of an approximate numeric solution of the optimal estimation problem given that involves first the space variable having been discretized, then the transformation of the problem given into that involving equality, limitations only, and ultimately the solution of the problem thus presented with the use of one of multilevel methods, the so called GSC method. Certain problems involved in the analysis of approximate compalibility of the solution according to the approximation method adopted with an exact solution of the optimal estimation problem given have also been discussed in brief.